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Repeat Prob. 2–85 for umax = 7 m/s.

Chapter 2, Problem 80P

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QUESTION:

Problem 80P

Repeat Prob. 2–85 for umax = 7 m/s. 

Questions & Answers

QUESTION:

Problem 80P

Repeat Prob. 2–85 for umax = 7 m/s. 

ANSWER:

Solution 80P

Following the same method as in Prob. 2–85 for = 7 m/s. 

In regions far from the entrance, fluid flow through a circular pipe is one-dimensional, and the velocity profile for laminar flow is given by u(r) =( 1 /), where R is the radius of the pipe,r is the radial distance from the center of the pipe, and  is the maximum flow velocity, which occurs at the center.

a.)

Step 1 of 1

A relation for the drag force applied by the fluid on a section of the pipe of length L is given by

= where,= shear stress ,= area on which shear stress is acting =

 can be now determined by first finding the shear stress .

The shear stress at the pipe surface can be expressed as

]

     = ()

    =  

 =

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